A circular ring of mass M and radius R is rotating about its axis with constant angular velocity $\omega$. Two particle each of mass m are attached gently to the opposite ends of a diameter of the ting. The angular velocity of the ring will now become :

Question

( A ) $\frac{M\omega} {M-2m}$
( B ) $\frac {M+2m} {M\omega}$
( C ) $\frac{m\omega} {M+2m}$
( D ) $\frac{M\omega} {M+2m}$